| Authors: | Blagojević, Pavle Karasev, Roman |
Affiliations: | Mathematical Institute of the Serbian Academy of Sciences and Arts | Title: | The Schwarz genus of the Stiefel manifold | Journal: | Topology and its Applications | Volume: | 160 | Issue: | 18 | First page: | 2340 | Last page: | 2350 | Issue Date: | 1-Dec-2013 | Rank: | M22 | ISSN: | 0166-8641 | DOI: | 10.1016/j.topol.2013.07.028 | Abstract: | In this paper we compute: the Schwarz genus of the Stiefel manifold Vk(Rn) with respect to the action of the Weyl group Wk:=(Z/2)k⋊Sk, and the Lusternik-Schnirelmann category of the quotient space Vk(Rn)/Wk. Furthermore, these results are used in estimating the number of critically outscribed parallelotopes around a strictly convex body, and Birkhoff-James orthogonal bases of a normed finite dimensional vector space. |
Keywords: | Inscribing and outscribing | Lusternik-Schnirelmann category | Schwarz genus | Publisher: | Elsevier | Project: | European Unionʼs Seventh Framework Programme (FP7/2007–2013)/ERC, Grant agreement No. 247029-SDModels Advanced Techniques of Cryptology, Image Processing and Computational Topology for Information Security ERC Advanced Research, Grant No. 267195 (DISCONV) Presidentʼs of Russian Federation, grant MD-352.2012.1 Russian government, project 11.G34.31.0053 |
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